{ "item_title" : "The Lifted Root Number Conjecture for Small Sets of Places and an Application to CM-Extensions", "item_author" : [" Andreas Nickel "], "item_description" : "In this paper we study a famous conjecture which relates the leading terms at zero of Artin L-functions attached to a finite Galois extension L/K of number fields to natural arithmetic invariants. This conjecture is called the Lifted Root Number Conjecture (LRNC) and has been introduced by K.W.Gruenberg, J.Ritter and A.Weiss; it depends on a set S of primes of L which is supposed to be sufficiently large. We formulate a LRNC for small sets S which only need to contain the archimedean primes. We apply this to CM-extensions which we require to be (almost) tame above a fixed odd prime p. In this case the conjecture naturally decomposes into a plus and a minus part, and it is the minus part for which we prove the LRNC at p for an infinite class of relatively abelian extensions. Moreover, we show that our results are closely related to the Rubin-Stark conjecture.", "item_img_path" : "https://covers3.booksamillion.com/covers/bam/3/83/251/969/3832519696_b.jpg", "price_data" : { "retail_price" : "50.00", "online_price" : "50.00", "our_price" : "50.00", "club_price" : "50.00", "savings_pct" : "0", "savings_amt" : "0.00", "club_savings_pct" : "0", "club_savings_amt" : "0.00", "discount_pct" : "10", "store_price" : "" } }

Overview

Customers Also Bought

Details